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2 years ago

Help me out friends

Mathematics

1 answer:

GrogVix [38]2 years ago

6 0

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = x - 2 ← equation of line

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Wuts the solution too this problem... 6a+7=13+7a

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Answer:

a= -6

Step-by-step explanation:

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If a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month, what

OLEGan [10]

Answer:

$97.15.

Step-by-step explanation:

We have been given that a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month. The interest rate of credit card is 3.35% monthly.

We will use interest formula to solve our given problem.

$I=PrT$ , where,

$I=\text{Interest}$ ,

$P=\text{Principal amount}$ ,

$r=\text{Interest rate in decimal form}$ ,

$T=\text{Time}$

Let us convert our given interest rate in decimal form.

$3.35\%=\frac{3.35}{100}=0.0335$

Upon substituting our given values in interest formula we will get,

$I=2,900*0.0335*1$

$I=2,900*0.0335$

$I=97.15$

Therefore, the monthly interest charge at the end of the 1st month will be $97.15.

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3 years ago

Dividing by 1/2 is the same as multiplying by what number

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Answer:

0.5

Step-by-step explanation:

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3 years ago

PLEASE PLEASE PLEASE HELP!!

Lapatulllka [165]

What's the problem?
I don't see it

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2 years ago

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Calc help pretty please

Gre4nikov [31]

Answer:

A. 77.4

Step-by-step explanation:

Linear approximation formula

$L(x)=f(a)+f'(a)(x-a)$

Given function:

$f(x)=(x+1)^2$

$\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}$

$\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}$

$\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}$

Use the chain rule to differentiate the function.

$\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)$

Differentiate the two parts separately:

$y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u$

$u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1$

Put everything back into the chain rule formula:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}$

$\textsf{Therefore, }\:f'(x)=2x+2.$ .

The linear approximation at a = 8 is:

$\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}$

Finally, substitute x = 7.8 into the linear approximation equation:

$\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}$

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